A note on the extremal process of the supercritical Gaussian Free Field
Probability
2015-05-21 v1
Abstract
We consider both the infinite-volume discrete Gaussian Free Field (DGFF) and the DGFF with zero boundary conditions outside a finite box in dimension larger or equal to 3. We show that the associated extremal process converges to a Poisson point process. The result follows from an application of the Stein-Chen method from Arratia et al. (1989).
Keywords
Cite
@article{arxiv.1505.05324,
title = {A note on the extremal process of the supercritical Gaussian Free Field},
author = {Alberto Chiarini and Alessandra Cipriani and Rajat Subhra Hazra},
journal= {arXiv preprint arXiv:1505.05324},
year = {2015}
}
Comments
14 pages, 1 figure